th-position-vector-of-a-particle-p-of-mass-3-kg-is-given-by-r-cos-2t-i-sin-2t-j-m-given-that-p-was-intitialy-at-rest-find-the-cartesian-equation-of-its-path-and-describe-it-

FacebookTweetPin

Question Number 91654 by Rio Michael last updated on 02/May/20

$$\mathrm{th}\mathrm{position}\mathrm{vector}\mathrm{of}\mathrm{a}\mathrm{particle}p\mathrm{of}\mathrm{mass}3\mathrm{kg}\mathrm{is}\mathrm{given}\mathrm{by}$$$$r=[\left(\cos 2t\right)i+\left(\sin 2t\right)j]\mathrm{m}$$$$\mathrm{given}\mathrm{that}p\mathrm{was}\mathrm{intitialy}\mathrm{at}\mathrm{rest}.$$$$\mathrm{find}\mathrm{the}\mathrm{cartesian}\mathrm{equation}\mathrm{of}\mathrm{its}\mathrm{path}\mathrm{and}\mathrm{describe}\mathrm{it}.$$

Answered by Kunal12588 last updated on 02/May/20

$$m=3kg$$$$r=[\left(cos2t\right)i+\left(sin2t\right)j]m$$$$y=cos2t$$$$x=sin2t$$$$x^2+y^2=1i.e.pathisacircle$$

Commented by Rio Michael last updated on 02/May/20

$$\mathrm{wow}\mathrm{thanks}\mathrm{sir},$$$$\mathrm{what}\mathrm{if}\mathrm{we}\mathrm{have}\mathrm{something}\mathrm{like}\mathrm{this}$$$$r=[\left(\cos 2t\right)i+\left(\sin 2t\right)j+\left(\sin 2t\right)k]\mathrm{how}\mathrm{do}\mathrm{describe}\mathrm{this}?$$

Commented by Kunal12588 last updated on 02/May/20

$$maybeanswerliesin3dgeometry,I{don}^{\prime }tknow$$

Commented by Rio Michael last updated on 02/May/20

$$\mathrm{okay}\mathrm{sir}\mathrm{thanks},\mathrm{was}\mathrm{thinking}\mathrm{of}\mathrm{hw}\mathrm{to}\mathrm{describe}\mathrm{this}$$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

FacebookTweetPin